On The Coincidence Of The Feedback Nash And Stackelberg Equilibria In Economic Applications Of Differential Games
In this paper the scope of the applicability of the Stackelberg equilibrium concept in differential games is investigated. Firstly, it is showed that for a class of differential games with state-interdependence the stationary feedback Nash equilibrium coincides with the stationary feedback Stackelberg equilibrium independently of the player being the leader of the game. Secondly, sufficient conditions for obtaining the coincidence between the two equilibria are defined. A review of different economic models shows that this coincidence is going to occur for a good number of economic applications of differential games. This result appears because of the continuous-time setting in which differential games are defined. In this setting the first movement advantage of the leader may disappears and then both equilibria coincide.
|Date of creation:||Jul 2002|
|Date of revision:|
|Publication status:||Published by Ivie|
|Contact details of provider:|| Postal: C/ Guardia Civil, 22, Esc 2a, 1o, E-46020 VALENCIA|
Phone: +34 96 319 00 50
Fax: +34 96 319 00 55
Web page: http://www.ivie.es/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Tsutsui, Shunichi O., 1996. "Capacity constraints and voluntary output cutback in dynamic Cournot competition," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1683-1708.
- Rubio, Santiago J. & Escriche, Luisa, 2001.
"Strategic pigouvian taxation, stock externalities and polluting non-renewable resources,"
Journal of Public Economics,
Elsevier, vol. 79(2), pages 297-313, February.
- Santiago J. Rubio & Luisa Escriche, 1998. "- Strategic Pigouvian Taxation, Stock Externalities And Polluting Non-Renewable Resources," Working Papers. Serie EC 1998-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Frederick Ploeg & Aart Zeeuw, 1992.
"International aspects of pollution control,"
Environmental & Resource Economics,
European Association of Environmental and Resource Economists, vol. 2(2), pages 117-139, March.
- Van Der Ploeg, F. & De Zeeuw, A.J., 1990. "International Aspects Of Pollution Control," Papers 9065, Tilburg - Center for Economic Research.
- van der Ploeg, F. & de Zeeuw, A.J., 1990. "International aspects of pollution control," Discussion Paper 1990-65, Tilburg University, Center for Economic Research.
- Dockner, Engelbert & Feichtinger, Gustav & Mehlmann, Alexander, 1989. "Noncooperative solutions for a differential game model of fishery," Journal of Economic Dynamics and Control, Elsevier, vol. 13(1), pages 1-20, January.
- Chaim Fershtman & Eitan Muller, 1983.
"Capital Accumulation Games of Infinite Duration,"
553, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Wirl, Franz & Dockner, Engelbert, 1995. "Leviathan governments and carbon taxes: Costs and potential benefits," European Economic Review, Elsevier, vol. 39(6), pages 1215-1236, June.
- Piga, Claudio A. G., 2000. "Competition in a duopoly with sticky price and advertising," International Journal of Industrial Organization, Elsevier, vol. 18(4), pages 595-614, May.
- van der Ploeg, F & de Zeeuw, A J, 1990.
"Perfect Equilibrium in a Model of Competitive Arms Accumulation,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(1), pages 131-46, February.
- van der Ploeg, F. & de Zeeuw, A.J., 1988. "Perfect equilibrium in a model of competitive arms accumulation," Discussion Paper 1988-4, Tilburg University, Center for Economic Research.
- van der Ploeg, F. & de Zeeuw, A.J., 1987. "Perfect equilibrium in a model of competitive arms accumulation," Research Memorandum FEW 266, Tilburg University, School of Economics and Management.
- List, John A. & Mason, Charles F., 2001. "Optimal Institutional Arrangements for Transboundary Pollutants in a Second-Best World: Evidence from a Differential Game with Asymmetric Players," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 277-296, November.
- Itaya, Jun-ichi & Shimomura, Koji, 2001.
"A dynamic conjectural variations model in the private provision of public goods: a differential game approach,"
Journal of Public Economics,
Elsevier, vol. 81(1), pages 153-172, July.
- Jun-ichi Itaya & Koji Shimomura, 1999. "A Dynamic Conjectural Variations Model in the Private Provision of Public Goods: a Differential Game Approach," Discussion Paper Series 104, Research Institute for Economics & Business Administration, Kobe University.
- Benhabib, Jess & Radner, Roy, 1992. "The Joint Exploitation of a Productive Asset: A Game-Theoretic Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 155-90, April.
- Wirl Franz, 1994. "Pigouvian Taxation of Energy for Flow and Stock Externalities and Strategic, Noncompetitive Energy Pricing," Journal of Environmental Economics and Management, Elsevier, vol. 26(1), pages 1-18, January.
- Franz Wirl, 1995. "The exploitation of fossil fuels under the threat of global warming and carbon taxes: A dynamic game approach," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 5(4), pages 333-352, June.
- Zagonari, Fabio, 1998. "International Pollution Problems: Unilateral Initiatives by Environmental Groups in One Country," Journal of Environmental Economics and Management, Elsevier, vol. 36(1), pages 46-69, July.
- Gradus, R.H.J.M., 1990. "Optimal dynamic profit taxation : The derivation of feedback Stackelberg equilibria," Research Memorandum 9a5b8f5f-ba90-45ae-9a17-4, Tilburg University, School of Economics and Management.
- Fershtman, Chaim & Nitzan, Shmuel, 1991.
"Dynamic voluntary provision of public goods,"
European Economic Review,
Elsevier, vol. 35(5), pages 1057-1067, July.
- M. Simaan & J. B. Cruz, 1975. "Formulation of Richardson's Model of Arms Race from a Differential Game Viewpoint," Review of Economic Studies, Oxford University Press, vol. 42(1), pages 67-77.
- Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-64, September.
- Tahvonen, Olli, 1996. "Trade with Polluting Nonrenewable Resources," Journal of Environmental Economics and Management, Elsevier, vol. 30(1), pages 1-17, January.
- Dockner, Engelbert J, 1992. "A Dynamic Theory of Conjectural Variations," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 377-95, December.
- Reynolds, Stanley S., 1991. "Dynamic oligopoly with capacity adjustment costs," Journal of Economic Dynamics and Control, Elsevier, vol. 15(3), pages 491-514, July.
- Driskill, Robert A. & McCafferty, Stephen, 1989. "Dynamic duopoly with adjustment costs: A differential game approach," Journal of Economic Theory, Elsevier, vol. 49(2), pages 324-338, December.
- Tsutsui, Shunichi & Mino, Kazuo, 1990. "Nonlinear strategies in dynamic duopolistic competition with sticky prices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 136-161, October.
- Deger, Saadet & Sen, Somnath, 1984. "Optimal control and differential game models of military expenditure in less developed countries," Journal of Economic Dynamics and Control, Elsevier, vol. 7(2), pages 153-169, May.
- Rubio, Santiago J. & Casino, Begona, 2001. "Competitive versus efficient extraction of a common property resource: The groundwater case," Journal of Economic Dynamics and Control, Elsevier, vol. 25(8), pages 1117-1137, August.
- Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
- Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, June.
- Dockner, Engelbert J. & Sorger, Gerhard, 1996. "Existence and Properties of Equilibria for a Dynamic Game on Productive Assets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 209-227, October.
When requesting a correction, please mention this item's handle: RePEc:ivi:wpasad:2002-11. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Departamento de Edición)
If references are entirely missing, you can add them using this form.